Results 11 to 20 of about 56,713 (115)

Deformations of the three-dimensional Lie algebra sl(2)

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2020
Deformation is one of key questions of the structural theory of algebras over a field. Especially, it plays a important role in the classification of such algebras.
A.A. Ibrayeva   +2 more
doaj   +1 more source

Lie point symmetry infinitesimals, optimal system, power series solution, and modulational gain spectrum to the mathematical Noyes–Field model of nonlinear homogeneous oscillatory Belousov–Zhabotinsky reaction

open access: yesResults in Physics, 2023
Introduction:: The chemical oscillators are identified as open system that demonstrate periodic changes in the concentration of some reaction species as a result of intricate physico-chemical mechanisms which can lead to bi-stability, the occurrence of ...
Ebrahem A. Algehyne   +4 more
doaj   +1 more source

Categorifying the sl(2, C) Knizhnik-Zamolodchikov connection via an infinitesimal 2-Yang-Baxter operator in the string Lie-2-algebra [PDF]

open access: yes, 2017
We construct a flat (and fake-flat) 2-connection in the configuration space of n indistinguishable particles in the complex plane, which categorifies the sl(2,C)-Knizhnik-Zamolodchikov connection obtained from the adjoint representation of sl(2,C).
Cirio, LS, Martins, JF
core   +4 more sources

Geometric Theory of Heat from Souriau Lie Groups Thermodynamics and Koszul Hessian Geometry: Applications in Information Geometry for Exponential Families

open access: yesEntropy, 2016
We introduce the symplectic structure of information geometry based on Souriau’s Lie group thermodynamics model, with a covariant definition of Gibbs equilibrium via invariances through co-adjoint action of a group on its moment space, defining physical ...
Frédéric Barbaresco
doaj   +1 more source

An extension of Rais' theorem and seaweed subalgebras of simple Lie algebras [PDF]

open access: yes, 2004
Let $\g$ be a simple Lie algebra of type A or C. We show that the coadjoint representation of any seaweed subalgebra of $\g$ has some properties similar to that of the adjoint representation of a reductive Lie algebra.
Panyushev, Dmitri I.
core   +2 more sources

Extended geometries

open access: yesJournal of High Energy Physics, 2018
We present a unified and completely general formulation of extended geometry, characterised by a Kac-Moody algebra and a highest weight coordinate module.
Martin Cederwall, Jakob Palmkvist
doaj   +1 more source

BPS Center Vortices in Nonrelativistic SU(N) Gauge Models with Adjoint Higgs Fields

open access: yesAdvances in High Energy Physics, 2015
We propose a class of SU(N) Yang-Mills models, with adjoint Higgs fields, that accept BPS center vortex equations. The lack of a local magnetic flux that could serve as an energy bound is circumvented by including a new term in the energy functional ...
L. E. Oxman
doaj   +1 more source

Non-finitary Generalizations of Nil-triangular Subalgebras of Chevalley Algebras

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2019
Let $N\Phi(K)$ be a niltriangular subalgebra of Chevalley algebra over a field or ring $K$ associated with root system $\Phi$ of classical type. For type $A_{n-1}$ it is associated to algebra $NT(n,K)$ of (lower) nil-triangular $n \times n$- matrices ...
J. V. Bekker   +2 more
doaj   +1 more source

Supersymmetric localization in AdS5 and the protected chiral algebra

open access: yesJournal of High Energy Physics, 2018
N=4 $$ \mathcal{N}=4 $$ super Yang-Mills theory admits [1] a protected subsector isomorphic to a two-dimensional chiral algebra, obtained by passing to the cohomology of a certain supercharge. In the large N limit, we expect this chiral algebra to have a
Federico Bonetti, Leonardo Rastelli
doaj   +1 more source

Analysis of the vacuum solution of the five-dimensional Einstein field equations with negative cosmological constant via variational symmetries [PDF]

open access: yesAUT Journal of Mathematics and Computing
The Kaluza-Klein theory can be reckoned as a classical unified field theory of two of the significant forces of nature gravitation and electromagnetism.
Fatemeh Ahangari
doaj   +1 more source

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